Applied Mathematics and Mechanics (English Edition) ›› 1991, Vol. 12 ›› Issue (2): 131-148.
何友声, 鲁传敬, 陈学农
He You-sheng, Lu Chuan-jing, Chen Xue-nong
摘要: The derivations are carried out for the velocity potentials of singularities moving with an arbitrary path either in the upper fluid or in the lower fluid with or without a horizontal bottom when two fluids are present. In such a case, the pressure distribution is no longer equal to a constant or zero at the free interface. Taking the influence of an upper fluid upon the lower fluid into consideration, a series of fundamental solutions in closed forms arc presented in this paper.